摘要翻译:
若存在两条光滑曲线C、F和一个自由作用于C乘F上的有限群G,使得S=(C×F)/G,则称射影曲面S为乘积等价曲面。本文对p_g=q=1的与乘积等同的曲面进行了分类。
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英文标题:
《The classification of surfaces with p_g=q=1 isogenous to a product of
curves》
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作者:
Giovanna Carnovale, Francesco Polizzi
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最新提交年份:
2008
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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一级分类:Mathematics 数学
二级分类:Group Theory 群论
分类描述:Finite groups, topological groups, representation theory, cohomology, classification and structure
有限群、拓扑群、表示论、上同调、分类与结构
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英文摘要:
A projective surface S is said to be isogenous to a product if there exist two smooth curves C, F and a finite group G acting freely on C \times F so that S=(C \times F)/G. In this paper we classify all surfaces with p_g=q=1 which are isogenous to a product.
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PDF链接:
https://arxiv.org/pdf/0704.0446